511011216352 has 144 divisors (see below), whose sum is σ = 1249448457600. Its totient is φ = 201439719936.

The previous prime is 511011216347. The next prime is 511011216407. The reversal of 511011216352 is 253612110115.

It is a super-2 number, since 2×511011216352² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 511011216352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10689399 + ... + 10737097.

It is an arithmetic number, because the mean of its divisors is an integer number (8676725400).

Almost surely, 2^511011216352 is an apocalyptic number.

511011216352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511011216352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624724228800).

511011216352 is an abundant number, since it is smaller than the sum of its proper divisors (738437241248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

511011216352 is a wasteful number, since it uses less digits than its factorization.

511011216352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48025 (or 48004 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

Adding to 511011216352 its reverse (253612110115), we get a palindrome (764623326467).

The spelling of 511011216352 in words is "five hundred eleven billion, eleven million, two hundred sixteen thousand, three hundred fifty-two".